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Finding the Fourth Proportional to 30,669.48, 46,006.14 and 12,201

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Solution

The fourth proportional to 30,669.48, 46,006.14 and 12,201 is: 18,302.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,669.48 : 46,006.14 = 12,201 : x
  2. Step 2: Convert to fraction form
    30,669.48/46,006.14 = 12,201/x
  3. Step 3: Cross multiply
    30,669.48x = 46,006.14 × 12,201
  4. Step 4: Simplify right side
    30,669.48x = 561,320,914.14
  5. Step 5: Solve for x
    x = 561,320,914.14/30,669.48
  6. Step 6: Final answer
    x = 18,302.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.